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Finding the Fourth Proportional to 205,708.80, 308,563.20 and 126,566.40

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Solution

The fourth proportional to 205,708.80, 308,563.20 and 126,566.40 is: 189,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.80 : 308,563.20 = 126,566.40 : x
  2. Step 2: Convert to fraction form
    205,708.80/308,563.20 = 126,566.40/x
  3. Step 3: Cross multiply
    205,708.80x = 308,563.20 × 126,566.40
  4. Step 4: Simplify right side
    205,708.80x = 39,053,733,396.48
  5. Step 5: Solve for x
    x = 39,053,733,396.48/205,708.80
  6. Step 6: Final answer
    x = 189,849.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.